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Finding the Fourth Proportional to 147.11, 201.80 and 143.52

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Solution

The fourth proportional to 147.11, 201.80 and 143.52 is: 196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.11 : 201.80 = 143.52 : x
  2. Step 2: Convert to fraction form
    147.11/201.80 = 143.52/x
  3. Step 3: Cross multiply
    147.11x = 201.80 × 143.52
  4. Step 4: Simplify right side
    147.11x = 28,961.62
  5. Step 5: Solve for x
    x = 28,961.62/147.11
  6. Step 6: Final answer
    x = 196.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.